Finding the Fourth Proportional to 2,198,411,735.10, 3,297,617,602.65 and 1,165,290,431.10
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Solution
The fourth proportional to 2,198,411,735.10, 3,297,617,602.65 and 1,165,290,431.10 is: 1,747,935,646.65
Step by Step Solution
- Step 1: Write the proportion equation
2,198,411,735.10 : 3,297,617,602.65 = 1,165,290,431.10 : x - Step 2: Convert to fraction form
2,198,411,735.10/3,297,617,602.65 = 1,165,290,431.10/x - Step 3: Cross multiply
2,198,411,735.10x = 3,297,617,602.65 × 1,165,290,431.10 - Step 4: Simplify right side
2,198,411,735.10x = 3,842,682,237,794,967,040 - Step 5: Solve for x
x = 3,842,682,237,794,967,040/2,198,411,735.10 - Step 6: Final answer
x = 1,747,935,646.65
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.